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Beliebt Rechnen >

(dy)/(dx)=(e^y+e^{-y})/(e^x-e^{-x)}

Lösung

\frac{d y}{d x} = \frac{e ^{y} + e ^{- y}}{e ^{x} - e ^{- x}}

Lösung

y = ln (tan (c_{1} + \frac{- ln ( e ^{x} + 1 ) + ln ( e ^{x} - 1 )}{2}))

Schritte zur Lösung

\frac{d y}{d x} = \frac{e ^{y} + e ^{- y}}{e ^{x} - e ^{- x}}

Solve separable ODE:

y = ln (tan (c_{1} + \frac{- ln ( e ^{x} + 1 ) + ln ( e ^{x} - 1 )}{2}))

y = ln (tan (c_{1} + \frac{- ln ( e ^{x} + 1 ) + ln ( e ^{x} - 1 )}{2}))

Graph

Beliebte Beispiele

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